Prove that function () = x" + sin(2.r) + 2.x – 10 has only one zero in R and it belong to the interval [1,2] Consider function f(x)=\frac{x^{2}+2}{2 x+1} Find

the domain of f Prove that fis twice differentiable in your domain and calculate f^{\prime}(x) \text { e } f^{\prime \prime}(x) Study the monotony of f Study the concavity of f O Determine the coordinates of the local highs and lows on the graph of f, if they exist Determine the Taylor polynomial of order 2 of f, at point x0 =1